1.87 is what percent of 35.28 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 35.28 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 35.28, so we can write it down as 100%=35.28.
4. We know, that x% equals 1.87 of the output value, so we can write it down as x%=1.87.
5. Now we have two simple equations:
1) 100%=35.28
2) x%=1.87
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=35.28/1.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.87 is what percent of 35.28

100%/x%=35.28/1.87
(100/x)*x=(35.28/1.87)*x       - we multiply both sides of the equation by x
100=18.866310160428*x       - we divide both sides of the equation by (18.866310160428) to get x
100/18.866310160428=x
5.3004535147392=x
x=5.3004535147392

now we have:
1.87 is 5.3004535147392% of 35.28